Solve y=a cos bt with t measured in seconds.

s(t) = -4 cos 10t  inches after t seconds.


A)What is the maximum height that the weight rises above the equilibrium position?
  is this right? 4inches
B)What are the frequency and period of the system?
  is this right? 4pi/4
c)When does the weight first reach its maximum height?
  is this right?  after 4 cycles
d)calculate and interpret s(1.466).